cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A334668 Numerator of Sum_{k=1..n} (-1)^(k+1)/k^7.

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%I A334668 #16 May 09 2020 00:25:27
%S A334668 1,127,277877,35566069,2778634972433,2778624972433,
%T A334668 2288319945032390119,292904812254103669607,640582959329009845430509,
%U A334668 640582894792751053318381,12483149055863937257566687990151,12483148704882733411491577990151,783299081298153288298872171970695856067
%N A334668 Numerator of Sum_{k=1..n} (-1)^(k+1)/k^7.
%C A334668 Lim_{n -> infinity} a(n)/A334669(n) = A275710 = (63/64)*A013665.
%e A334668 The first few fractions are 1, 127/128, 277877/279936, 35566069/35831808, 2778634972433/2799360000000, 2778624972433/2799360000000, ... = A334668/A334669.
%t A334668 Numerator @ Accumulate[Table[(-1)^(k + 1)/k^7, {k, 1, 13}]] (* _Amiram Eldar_, May 08 2020 *)
%o A334668 (PARI) a(n) = numerator(sum(k=1, n, (-1)^(k+1)/k^7)); \\ _Michel Marcus_, May 08 2020
%Y A334668 Cf. A013665, A275710, A334669 (denominators).
%K A334668 nonn,frac
%O A334668 1,2
%A A334668 _Petros Hadjicostas_, May 07 2020